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Finding the Third Proportional to 12,218 and 18,295

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Solution

The third proportional to 12,218 and 18,295 is: 27,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 18,295 = 18,295 : x
  2. Step 2: Convert to fraction form
    12,218/18,295 = 18,295/x
  3. Step 3: Cross multiply
    12,218x = 18,295 × 18,295
  4. Step 4: Simplify right side
    12,218x = 334,707,025
  5. Step 5: Solve for x
    x = 334,707,025/12,218
  6. Step 6: Final answer
    x = 27,394.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.